Results 41 to 50 of about 12,298,354 (363)

A Short Note on Integral Transformations and Conversion Formulas for Sequence Generating Functions

open access: yesAxioms, 2019
The purpose of this note is to provide an expository introduction to some more curious integral formulas and transformations involving generating functions.
Maxie D. Schmidt
doaj   +1 more source

Some general Gompertz and Gompertz-Makeham life expectancy models

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Life expectancy models are highly important, as they indicate the populations health. The present models consider several types of factors, and by analyzing them we extend the formulae to new, mixed types in order to create particular representations ...
Drăgan Mihăiţă
doaj   +1 more source

On the Nonlinear Integro-Differential Equations

open access: yesFractal and Fractional, 2021
The goal of this paper is to study the uniqueness of solutions of several nonlinear Liouville–Caputo integro-differential equations with variable coefficients and initial conditions, as well as an associated coupled system in Banach spaces.
Chenkuan Li, Joshua Beaudin
doaj   +1 more source

Some Inequalities of Extended Hypergeometric Functions

open access: yesMathematics, 2021
Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain   +3 more
doaj   +1 more source

A refinement of a double inequality for the gamma function

open access: yes, 2011
In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.Comment: 8 ...
Guo, Bai-Ni, Qi, Feng
core   +1 more source

The Minimum in the Gamma Function [PDF]

open access: yesNature, 1935
IT is well known that the gamma function “(z) for real and positive values of z has a minimum between z = 1.46 and 1.47. In a number of texts on the theory of functions it is stated that the minimum occurs at z = 1.4616321 and that the corresponding value of “(z) is 0.8856032 Only one text that we have examined, namely Joseph Edwards's monumental work ...
Clarence G. Colcord   +2 more
openaire   +3 more sources

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

open access: yesMathematics, 2021
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain   +4 more
doaj   +1 more source

Dynamic Scaling in One-Dimensional Cluster-Cluster Aggregation [PDF]

open access: yes, 2000
We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size $s$ follow $D(s) \sim s^\gamma$ and $v(s) \sim s^\delta ...
C. Allain   +16 more
core   +2 more sources

Some new results for the Srivastava-Luo-Raina $\mathbb{M}$-transform pertaining to the incomplete H-functions

open access: yesAIMS Mathematics, 2020
The image formula of the incomplete H-functions is derived in this paper by using the Srivastava-Luo-Raina M-Transform. Also, we obtained the image formulae of some useful and important cases of incomplete H-function.
M. K. Bansal   +4 more
doaj   +1 more source

Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications

open access: yesIngeniería y Ciencia, 2016
In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar   +2 more
doaj   +1 more source

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